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2 cards from this section. Quick, good the night before a test.
What is a combinatorial proof?
Think about how you count objects in different ways.
What does LHS stand for?
It refers to the left part of an equation.
What does a combinatorial proof primarily rely on?
Remember the essence of combinatorial reasoning.
True or False: Combinatorial proofs can involve expanding expressions.
Think about the method's purpose.
Using combinatorial proof, establish the identity C(n, k-1) + C(n, k) = C(n+1, k).
Break the problem into cases based on selection.
Create a combinatorial proof for the expression C(n, r) = C(n-1, r) + C(n-1, r-1).
Think about selections where the specific object is part of 'r' or not.
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